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What is the Least Common Multiple of 64791 and 64804?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 64791 and 64804 is 4198715964.

LCM(64791,64804) = 4198715964

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Least Common Multiple of 64791 and 64804 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64791 and 64804, than apply into the LCM equation.

GCF(64791,64804) = 1
LCM(64791,64804) = ( 64791 × 64804) / 1
LCM(64791,64804) = 4198715964 / 1
LCM(64791,64804) = 4198715964

Least Common Multiple (LCM) of 64791 and 64804 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64791 and 64804. First we will calculate the prime factors of 64791 and 64804.

Prime Factorization of 64791

Prime factors of 64791 are 3, 23, 313. Prime factorization of 64791 in exponential form is:

64791 = 32 × 231 × 3131

Prime Factorization of 64804

Prime factors of 64804 are 2, 17, 953. Prime factorization of 64804 in exponential form is:

64804 = 22 × 171 × 9531

Now multiplying the highest exponent prime factors to calculate the LCM of 64791 and 64804.

LCM(64791,64804) = 32 × 231 × 3131 × 22 × 171 × 9531
LCM(64791,64804) = 4198715964